280736 has 24 divisors (see below), whose sum is σ = 572544. Its totient is φ = 135360.

The previous prime is 280729. The next prime is 280751. The reversal of 280736 is 637082.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280736.

It is an unprimeable number.

280736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (23856).

2²⁸⁰⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286272).

280736 is an abundant number, since it is smaller than the sum of its proper divisors (291808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

280736 is a wasteful number, since it uses less digits than its factorization.

280736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 280736 is about 529.8452604299. The cubic root of 280736 is about 65.4785975954.

The spelling of 280736 in words is "two hundred eighty thousand, seven hundred thirty-six".